Least Common Multiple of 6304, 5488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 6304, 5488 i.e. 2162272 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6304, 5488 is 2162272.

LCM(6304, 5488) = 2162272

LCM of 6304, 5488

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 6304,5488

Least Common Multiple (LCM) of 6304,5488 is 2162272

2 6304, 5488
2 3152, 2744
2 1576, 1372
2 788, 686
394, 343

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 394 x 343 = 2162272

Least Common Multiple of 6304,5488 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6304,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6304,5488) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(6304,5488) x common factors =16 x 1 = 16

LCM(6304,5488) = ( 6304 × 5488 ) / 16

LCM(6304,5488) = 34596352 / 16

LCM(6304,5488) = 2162272

∴ Least Common Multiple of 6304,5488 is 2162272

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 6304, 5488

1. What is the LCM of 6304, 5488?

Answer: LCM of 6304, 5488 is 2162272.

2. What are the Factors of 2162272?

Answer: Factors of 2162272 are . There are integers that are factors of 2162272

3. How to Find the LCM of 6304, 5488 ?

Least Common Multiple of 6304, 5488.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(6304, 5488) = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7 x 197 = 2162272.